Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces

DOI10.2748/TMJ/1178207421zbMath0999.42010OpenAlexW2088700913MaRDI QIDQ5953572

Leonardo Colzani, Andrea Torlaschi, Luca Brandolini

Publication date: 26 November 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178207421

zbMATH Keywords

Fourier transformsdecayEuclidean spacehyperbolic disk

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (1)

Variance analysis for Monte Carlo integration

Cites Work

• Number of lattice points in families of homothetic domains in \(R^ n\)
• Average decay of Fourier transforms and integer points in polyhedra
• Fourier transforms related to convex sets
• Expansions for spherical functions on noncompact symmetric spaces
• Localization and convergence of eigenfunction expansions
• Über Integrale auf konvexen Körpern. I, II
• Über Einige Asymptotische Entwicklungen der Legendreschen Funktionen
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